cungrq man page on IRIX

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CUNGRQ(3F)							    CUNGRQ(3F)

NAME
     CUNGRQ - generate an M-by-N complex matrix Q with orthonormal rows,

SYNOPSIS
     SUBROUTINE CUNGRQ( M, N, K, A, LDA, TAU, WORK, LWORK, INFO )

	 INTEGER	INFO, K, LDA, LWORK, M, N

	 COMPLEX	A( LDA, * ), TAU( * ), WORK( LWORK )

PURPOSE
     CUNGRQ generates an M-by-N complex matrix Q with orthonormal rows, which
     is defined as the last M rows of a product of K elementary reflectors of
     order N

	   Q  =	 H(1)' H(2)' . . . H(k)'

     as returned by CGERQF.

ARGUMENTS
     M	     (input) INTEGER
	     The number of rows of the matrix Q. M >= 0.

     N	     (input) INTEGER
	     The number of columns of the matrix Q. N >= M.

     K	     (input) INTEGER
	     The number of elementary reflectors whose product defines the
	     matrix Q. M >= K >= 0.

     A	     (input/output) COMPLEX array, dimension (LDA,N)
	     On entry, the (m-k+i)-th row must contain the vector which
	     defines the elementary reflector H(i), for i = 1,2,...,k, as
	     returned by CGERQF in the last k rows of its array argument A.
	     On exit, the M-by-N matrix Q.

     LDA     (input) INTEGER
	     The first dimension of the array A. LDA >= max(1,M).

     TAU     (input) COMPLEX array, dimension (K)
	     TAU(i) must contain the scalar factor of the elementary reflector
	     H(i), as returned by CGERQF.

     WORK    (workspace/output) COMPLEX array, dimension (LWORK)
	     On exit, if INFO = 0, WORK(1) returns the optimal LWORK.

     LWORK   (input) INTEGER
	     The dimension of the array WORK. LWORK >= max(1,M).  For optimum
	     performance LWORK >= M*NB, where NB is the optimal blocksize.

									Page 1

CUNGRQ(3F)							    CUNGRQ(3F)

     INFO    (output) INTEGER
	     = 0:  successful exit
	     < 0:  if INFO = -i, the i-th argument has an illegal value

									Page 2

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